This is a course that I gave at the Limnology Institute of the University of Maringá, Brasil, in July 2013. It is an introduction to power laws and generalized dimensions (fractals and multifractals) with applications to ecology, at the same time I introduce the R statistical language. The slides are written in Markdown and the sources are on https://github.com/lsaravia/MultifractalsInR

Required knowledge

  • Some mathematical functions

  • Basic probability & statistics

  • Some programming skills

Software we will use

General Bibliography

  1. Mandelbrot BB (1983) The Fractal Geometry of Nature. W. H. Freeman and Company.

  2. Solé R V., Bascompte J (2006) Self-organization in complex ecosystems. Princeton University Press.

  3. Seuront L (2009) Fractals and Multifractals in Ecology and Aquatic Science. Taylor & Francis.

  4. Falconer K. (1990) Fractal Geometry. Mathematical Foundations and Applications. John Wiley & Sons.

  5. Harte D. (2001) Multifractals. Theory and Applictions. Chapman & Hall/CRC